4972005 has 24 divisors (see below), whose sum is σ = 8670168. Its totient is φ = 2635776.

The previous prime is 4972001. The next prime is 4972013. The reversal of 4972005 is 5002794.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 4941729 = 174^2 + 2223^2 .

It is not a de Polignac number, because 4972005 - 2² = 4972001 is a prime.

It is a super-4 number, since 4×4972005⁴ (a number of 28 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4972005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13909 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (361257).

Almost surely, 2^4972005 is an apocalyptic number.

4972005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4972005 is a deficient number, since it is larger than the sum of its proper divisors (3698163).

4972005 is a wasteful number, since it uses less digits than its factorization.

4972005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4972005 is about 2229.7993183244. The cubic root of 4972005 is about 170.6778586783.

Adding to 4972005 its reverse (5002794), we get a palindrome (9974799).

The spelling of 4972005 in words is "four million, nine hundred seventy-two thousand, five".